PreprintCC BY-ND 4.0HAL
Infinite periodic groups of even exponents
Abstract
We give a new proof that free Burnside groups of sufficiently large even exponents are infinite. The method is very flexible and can also be used to study (partially) periodic quotients of any group which admits an action on a hyperbolic space satisfying a weak form of acylindricity.
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BibTeX
@misc{coulon2026infinite,
title = {{Infinite periodic groups of even exponents}},
author = {Rémi Coulon},
howpublished = {HAL},
year = {2026},
month = oct,
eprint = {1810.08372},
archivePrefix = {arXiv},
url = {https://hal.science/hal-01898778v5},
note = {CC BY-ND 4.0},
}
RIS
TY - UNPB
TI - Infinite periodic groups of even exponents
AU - Rémi Coulon
PY - 2026
DA - 2026/10/29
PB - HAL
UR - https://hal.science/hal-01898778v5
AB - We give a new proof that free Burnside groups of sufficiently large even exponents are infinite. The method is very flexible and can also be used to study (partially) periodic quotients of any group which admits an action on a hyperbolic space satisfying a weak form of acylindricity.
ER -